Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications
Abstract We analyze the effective four-dimensional dynamics of the extra-dimensional moduli fields in curved braneworlds having nested warping, with particular emphasis on the doubly warped model which is interesting in the light of current collider constraints on the mass of the Kaluza-Klein gravit...
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SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)003 |
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| author | Arko Bhaumik Soumitra SenGupta |
| author_facet | Arko Bhaumik Soumitra SenGupta |
| author_sort | Arko Bhaumik |
| collection | DOAJ |
| description | Abstract We analyze the effective four-dimensional dynamics of the extra-dimensional moduli fields in curved braneworlds having nested warping, with particular emphasis on the doubly warped model which is interesting in the light of current collider constraints on the mass of the Kaluza-Klein graviton. The presence of a non-zero brane cosmological constant (Ω) naturally induces an effective moduli potential in the four-dimensional action, which shows distinct features in dS (Ω > 0) and AdS (Ω < 0) branches. For the observationally interesting case of dS 4-branes, a metastable minimum in the potential arises along the first modulus, with no minima along the higher moduli. The underlying nested geometry also leads to interesting separable forms of the non-canonical kinetic terms in the Einstein frame, where the brane curvature directly impacts the kinetic properties of only the first modulus. The non-canonicity of the scenario has been illustrated via an explicit computation of the field space curvature. We subsequently explore the ability of curved multiply warped geometries to drive inflation with an in-built exit mechanism, by considering predominant slow roll along each modular direction on a case-by-case basis. We find slow roll on top of the metastable plateau along the first modular direction to be the most viable scenario, with the higher-dimensional moduli parametrically tuning the height of the potential without significant impact on the inflationary observables. On the other hand, while slow roll along the higher moduli can successfully inflate the background and eventually lead to an exit, consistency with observations seemingly requires unphysical hierarchies among the extra-dimensional radii, thus disfavouring such scenarios. |
| format | Article |
| id | doaj-art-9afce9e3e7b14ed8b6a3c6bbb15f0dd4 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-9afce9e3e7b14ed8b6a3c6bbb15f0dd42024-12-08T12:15:15ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024913810.1007/JHEP09(2024)003Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implicationsArko Bhaumik0Soumitra SenGupta1Physics and Applied Mathematics Unit, Indian Statistical InstituteSchool of Physical Sciences, Indian Association for the Cultivation of ScienceAbstract We analyze the effective four-dimensional dynamics of the extra-dimensional moduli fields in curved braneworlds having nested warping, with particular emphasis on the doubly warped model which is interesting in the light of current collider constraints on the mass of the Kaluza-Klein graviton. The presence of a non-zero brane cosmological constant (Ω) naturally induces an effective moduli potential in the four-dimensional action, which shows distinct features in dS (Ω > 0) and AdS (Ω < 0) branches. For the observationally interesting case of dS 4-branes, a metastable minimum in the potential arises along the first modulus, with no minima along the higher moduli. The underlying nested geometry also leads to interesting separable forms of the non-canonical kinetic terms in the Einstein frame, where the brane curvature directly impacts the kinetic properties of only the first modulus. The non-canonicity of the scenario has been illustrated via an explicit computation of the field space curvature. We subsequently explore the ability of curved multiply warped geometries to drive inflation with an in-built exit mechanism, by considering predominant slow roll along each modular direction on a case-by-case basis. We find slow roll on top of the metastable plateau along the first modular direction to be the most viable scenario, with the higher-dimensional moduli parametrically tuning the height of the potential without significant impact on the inflationary observables. On the other hand, while slow roll along the higher moduli can successfully inflate the background and eventually lead to an exit, consistency with observations seemingly requires unphysical hierarchies among the extra-dimensional radii, thus disfavouring such scenarios.https://doi.org/10.1007/JHEP09(2024)003Cosmological modelsExtra DimensionsEffective Field TheoriesString and Brane Phenomenology |
| spellingShingle | Arko Bhaumik Soumitra SenGupta Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications Journal of High Energy Physics Cosmological models Extra Dimensions Effective Field Theories String and Brane Phenomenology |
| title | Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications |
| title_full | Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications |
| title_fullStr | Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications |
| title_full_unstemmed | Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications |
| title_short | Moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications |
| title_sort | moduli dynamics in effective nested warped geometry in four dimensions and some cosmological implications |
| topic | Cosmological models Extra Dimensions Effective Field Theories String and Brane Phenomenology |
| url | https://doi.org/10.1007/JHEP09(2024)003 |
| work_keys_str_mv | AT arkobhaumik modulidynamicsineffectivenestedwarpedgeometryinfourdimensionsandsomecosmologicalimplications AT soumitrasengupta modulidynamicsineffectivenestedwarpedgeometryinfourdimensionsandsomecosmologicalimplications |